3.6875 as a Fraction

Professor Greenline Explaining Math Concepts

Numbers can be categorized into different types. A fraction is one such type. It is always represented in the form of p/q, where p is the numerator and q is the denominator. A fraction represents both a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2. Numbers in decimal form are expressed with a decimal point (.), for example, 3.6875. We are going to learn how to convert a decimal to a fraction.

3.6875 as a Fraction for US Students

What is 3.6875 as a Fraction?

$3.6875 as a fraction$ Answer

The answer for 3.6875 as a fraction will be 59/16.

Explanation

Converting a decimal to a fraction is a task that can be accomplished easily by following a few steps. Here's how you can do it:

Step 1: Firstly, convert the decimal number to a fraction for easy calculation. Here, 3.6875 is the number with 1 as the denominator. Then, 3.6875 becomes 3.6875/1.

Step 2: To eliminate the decimal from the fraction, you need to multiply both the numerator and the denominator by 10000 (because there are four decimal places). 3.6875/1 × 10000/10000 = 36875/10000

Step 3: The GCD of 36875 and 10000 is 625. Now, to simplify the fraction, divide the numerator and the denominator by 625. 36875/10000 = 59/16 Hence, 3.6875 is in the fraction form of 59/16.

Thus, 3.6875 can be written as a fraction 59/16.

Important Glossaries for 3.6875 as a Fraction

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
Denominator: The bottom part of a fraction, showing how many parts make up a whole.
Greatest Common Divisor (GCD): The largest number that can divide both the numerator and denominator without leaving a remainder.